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Beliebt Geometry >

2x^2+5y^2-4x+y-6=0

Lösung

2 x^{2} + 5 y^{2} - 4 x + y - 6 = 0

Lösung

(h, k) = (1, - \frac{1}{10}), a = \frac{161}{2 10}, b = \frac{161}{10}

Schritte zur Lösung

2 x^{2} + 5 y^{2} - 4 x + y - 6 = 0

Rewrite

2 x^{2} + 5 y^{2} - 4 x + y - 6 = 0

in the form of the standard ellipse equation

\frac{( x - 1 ) ^{2}}{( \frac{161}{2 10} ) ^{2}} + \frac{( y - ( - \frac{1}{10} ) ) ^{2}}{( \frac{161}{10} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (1, - \frac{1}{10}), a = \frac{161}{2 10}, b = \frac{161}{10}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, - \frac{1}{10}), a = \frac{161}{2 10}, b = \frac{161}{10}

Graph

Beliebte Beispiele

((x-2.63)^2)/(1.34)+(y^2)/(3.22)-1=1

\frac{( x - 2.63 ) ^{2}}{1.34} + \frac{y ^{2}}{3.22} - 1 = 1

4x^2+y^2-32x-80=0

4 x^{2} + y^{2} - 32 x - 80 = 0

2 x^{2} + x + y^{2} - 6 = 0

(4x)/(x^2+y^2)=-2

\frac{4 x}{x ^{2} + y ^{2}} = - 2

y^2+4x^2+24x+16y=-84

y^{2} + 4 x^{2} + 24 x + 16 y = - 84